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Finding the Fourth Proportional to 21,523.89, 29,702.79 and 12,092.25

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Solution

The fourth proportional to 21,523.89, 29,702.79 and 12,092.25 is: 16,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.89 : 29,702.79 = 12,092.25 : x
  2. Step 2: Convert to fraction form
    21,523.89/29,702.79 = 12,092.25/x
  3. Step 3: Cross multiply
    21,523.89x = 29,702.79 × 12,092.25
  4. Step 4: Simplify right side
    21,523.89x = 359,173,562.38
  5. Step 5: Solve for x
    x = 359,173,562.38/21,523.89
  6. Step 6: Final answer
    x = 16,687.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.